End conditions for interpolatory sextic splinesâ-

Author: Siddiqi Shahid S.   Akram Ghazala  

Publisher: Taylor & Francis Ltd

ISSN: 0020-7160

Source: International Journal of Computer Mathematics, Vol.83, Iss.5-6, 2006-05, pp. : 473-485

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Abstract

In this paper a sextic spline is defined for interpolation at equally spaced knots along with the end conditions required to complete the definition of the spline. These conditions are in terms of given functional values at the knots and lead to uniform convergence of O(h7) throughout the interval of interpolation. The main objective of defining the end conditions for the sextic spline is to use the sextic spline not only for interpolation purposes, but also for the solution of the fifth-order boundary value problem, with the change consistent with the boundary value problem.â-Dedicated to the memory of Dr. M. Rafique.